Question

Here is a quote from a Gallup report: “According to a 2018 Gallup poll, 5% of U.S. adults consider themselves to be vegetarian. Nonwhite Americans (9%) are three times as likely as white Americans (3%) to describe themselves as vegetarian.” This statement is based on a random sample of 1033 American adults interviewed in July 2018, in which 270 respondents identified as “nonwhite” and 742 as “white.

A) The cited value 5% is part of the ["observational", "experimental", "anecdotal", "conditional", "marginal"] distribution of ["diet choice, given ethnicity", "diet choice", "ethnicity, given diet choice", "ethnicity"]         .

The cited value 9% is part of the ["anecdotal", "marginal", "experimental", "observational", "conditional"] distribution of ["ethnicity, given diet choice", "diet choice", "diet choice, given ethnicity", "ethnicity"].

B) Which math symbol represents the cited value 5%?

C) Obtain a 95% confidence interval for the proportion of adults who followed a vegetarian diet in the American adult population in 2018. Which inference procedure should be used?

-ANOVA for several means

-one sample or matched-pairs t procedure for a mean

-z procedure for a proportion

-two sample t procedure for two means

-chi-square for two-way tables

-chi-square for goodness of fit

D) What are the conditions for this inference procedure?

-Random selection without repeated measures AND large enough expected counts.

-Independent random samples AND normal data AND large enough total sample size AND similar sample standard deviations.

-Independent random samples AND normal data or large enough total sample size.

-Normal data AND large enough expected counts.

-Independent random samples AND normal data AND large enough total sample size.

-One random sample AND normal data AND large enough sample size.

-One random sample AND large enough counts of successes and failures in the sample.

-Independent random samples AND normal data or large enough total sample size AND similar sample standard deviations.

-One random sample AND normal data or large enough sample size.

E) Assuming for now that the conditions for inference are met, interpret your confidence interval in context. (Be sure to be very specific and include the actual values of your confidence interval).

Answer 1

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